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    Question

    A hemispherical bowl of inner radius 10 cm is filled

    with water. If the water is poured into a cylindrical container with a radius of 5 cm, what will be the height of the water level in the cylindrical container?
    A 32 cm Correct Answer Incorrect Answer
    B 26.7 cm Correct Answer Incorrect Answer
    C 20 cm Correct Answer Incorrect Answer
    D 18.5 cm Correct Answer Incorrect Answer

    Solution

    Volume of the hemisphere = (2/3) * ╧А * r┬│ Where r = 10 cm: Volume = (2/3) * ╧А * (10┬│) = (2/3) * ╧А * 1000 = (2000/3)╧А cm┬│. Volume of the cylinder = ╧А * r┬▓ * h Where r = 5 cm: (2000/3)╧А = ╧А * (5┬▓) * h (2000/3) = 25h h = (2000/3) / 25 = 26.67 cm. Correct option: b) 26.7 cm

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